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“All lights blinking and printer not responding” is
indicative of serious ink cartridge issue. Usually when this happens the
printer fails to goes through the motions of the printing process, kind of
stands still with indicator lights just blinking away. This could be as a
result of either of these scenarios.i.Ink cartridge
has developed incompatibility or is incompatible
The Solution is to try an older/another cartridge (doesn’t matter if ink
is finished. You must replace cartridge one at a time). If lights stop blinking
it confirms that your cartridge has become incompatible or developed
incompatibility. Also if your printer is the type that can work with only one
cartridge, remove one after the other (closing back the lid/cover) to determine
which in the set (black or color) has become incompatible. At the instance the
incompatible one is removed and you close the lid, the blinking will stop (for
printers that can print with one ink cartridge only). Just replace the
incompatible one and start printing again. In most cases the issue is always
with one cartridge. But if both are affected, you have to replace both. Because
of this type of problem, always keep used cartridges somewhere safe; they come
in handy for this type of troubleshooting.ii.The Cartridge
electronic panel is dirty
The electronic panel on the cartridge that makes contact with the
cartridge carrier inside the printer is dirty and needs cleaning. This electronic panel is front part of the
cartridge with copper “dots”.
The
Solution is to try to clean this panel with a piece of folded tissue paper
soaked in a bit of methylated spirit. Also try to clean the area in the
cartridge carrier/holder that makes contact with the cartridge’s electronic
panel (Usually this is more difficult). If you cannot reach it with your
fingers, use a stick or something with tissue wrapped around it. Allow to dry
well and return the cartridges, close the cover. The blinking should stop if
the electronic panel is the issue. Once the blinking stops the printer will
print.

You did not indicate whether the printer goes through the motions of printing but delivers a blank paper, or wheter it just stands still and doesn't move at all.

So I have to give you solutions to the two scenarios.

1st Scenario
If printer goes through the motions of printing but delivers a blank paper. The cartridge nuzzles are likely blocked. Ink may be new, but their nuzzles may be blocked; depending on manner of storage. To be sure apply a folded tissue paper to the ink nuzzle and press firmly. If the tissue comes off well blotted with ink it means you still have a good amount of ink in it the nuzzle is not blocked. If not blotted or scantily blotted, it means ink is really low or nuzzle is blocked. To be very sure of this, place nuzzle in a place/saucer with a bit water so that the nuzzle is soaked. Leave for about 10 minutes. Then apply the tissue again. If still not well blotted it means ink is really low or empty. If new you should return it for a replacement. In the case of blocked nuzzles, the procedure may be repeated over to get results.

2nd Scenario
If printer does mot go through the motions of printing but just stand still. This could be as a result of either of these scenarios. Usually indicator lights blink continuously in this case.i.Ink cartridge has developed incompatibility or is incompatible
The Solution is to try an older/another cartridge (doesn’t matter if ink is finished. You must replace cartridge one at a time). If lights stop blinking it confirms that your cartridge has become incompatible or developed incompatibility. Also if your printer is the type that can work with only one cartridge, remove one after the other (closing back the lid/cover) to determine which in the set (black or color) has become incompatible. At the instance the incompatible one is removed and you close the lid, the blinking will stop (for printers that can print with one ink cartridge only). Just replace the incompatible one and start printing again. In most cases the issue is always with one cartridge. But if both are affected, you have to replace both. Because of this type of problem, always keep used cartridges somewhere safe; they come in handy for this type of troubleshooting.ii.The Cartridge electronic panel is dirty
The electronic panel on the cartridge that makes contact with the cartridge carrier inside the printer is dirty and needs cleaning. This electronic panel is front part of the cartridge with copper “dots”.
The Solution is to try to clean this panel with a piece of folded tissue paper soaked in a bit of methylated spirit. Also try to clean the area in the cartridge carrier/holder that makes contact with the cartridge’s electronic panel (Usually this is more difficult). If you cannot reach it with your fingers, use a stick or something with tissue wrapped around it. Allow to dry well and return the cartridges, close the cover. The blinking should stop if the electronic panel is the issue. Once the blinking stops the printer will print.

When you put in a "new" cartrage the printer sens an electrical charge to the cartrage to set it up properly. So I would treat this as a new cartrage, rather than a refilled one. Go to the printer menu and re install the ink cartrage in question, it should recognise it and start the function as a new one, good luck

Introduction
This describes how to check the estimated ink level in the cartridge.
NOTE:
Ink level warnings and indicators provide estimates for planning purposes only. When an indicator shows low ink levels, keep a replacement ink cartridge available to avoid possible printing delays. Ink cartridges do not need to be replaced until print quality becomes unacceptable.
Checking ink levels
Perform the following steps to check the estimated ink levels:
NOTE:
If you have installed a refilled or remanufactured print cartridge, or a cartridge that has been used in another printer, the ink level indicator will be inaccurate or unavailable.

The Printer Toolbox opens. Click the Estimated Ink Level tab. A cartridge may be running out of ink even if the graphic shows ink remaining (see the note at the start of this section). Lines or streaks always appear in printouts when the cartridges begin to run out of ink. Replace print cartridges that are out of ink or low on ink.
Figure 1: Estimated ink levels